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Finding the Fourth Proportional to 310,478.89, 465,386.76 and 177,071.89

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Solution

The fourth proportional to 310,478.89, 465,386.76 and 177,071.89 is: 265,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,478.89 : 465,386.76 = 177,071.89 : x
  2. Step 2: Convert to fraction form
    310,478.89/465,386.76 = 177,071.89/x
  3. Step 3: Cross multiply
    310,478.89x = 465,386.76 × 177,071.89
  4. Step 4: Simplify right side
    310,478.89x = 82,406,913,174.18
  5. Step 5: Solve for x
    x = 82,406,913,174.18/310,478.89
  6. Step 6: Final answer
    x = 265,418.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.